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Simplifying 3(4x + 2) + 40 = 6x + -2 Reorder the terms: 3(2 + 4x) + 40 = 6x + -2 (2 * 3 + 4x * 3) + 40 = 6x + -2 (6 + 12x) + 40 = 6x + -2 Reorder the terms: 6 + 40 + 12x = 6x + -2 Combine like terms: 6 + 40 = 46 46 + 12x = 6x + -2 Reorder the terms: 46 + 12x = -2 + 6x Solving 46 + 12x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x 46 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + 6x = -2 + 0 46 + 6x = -2 Add '-46' to each side of the equation. 46 + -46 + 6x = -2 + -46 Combine like terms: 46 + -46 = 0 0 + 6x = -2 + -46 6x = -2 + -46 Combine like terms: -2 + -46 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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